The Community for Technology Leaders
Green Image
ABSTRACT
A fractal tiling (f-tiling) is a tiling whose boundary is fractal. This article presents two families of rare, infinitely many f-tilings. Each f-tiling is constructed by reducing tiles by a fixed scaling factor, using a single prototile, which is a segment of a regular polygon. The authors designed invariant mappings to automatically produce appealing seamless, colored patterns from such tilings.
INDEX TERMS
Fractals, Equations, Boundary conditions, Mathematics,computer graphics, tiling, fractal, aesthetic pattern, invariant mapping
CITATION
Peichang Ouyang, Robert W. Fathauer, "Beautiful Math, Part 2: Aesthetic Patterns Based on Fractal Tilings", IEEE Computer Graphics and Applications, vol. 34, no. , pp. 68-76, Jan.-Feb. 2014, doi:10.1109/MCG.2014.6
214 ms
(Ver 3.3 (11022016))